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Finding the Fourth Proportional to 16,328.69, 22,529.94 and 9,614.60

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Solution

The fourth proportional to 16,328.69, 22,529.94 and 9,614.60 is: 13,266.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,328.69 : 22,529.94 = 9,614.60 : x
  2. Step 2: Convert to fraction form
    16,328.69/22,529.94 = 9,614.60/x
  3. Step 3: Cross multiply
    16,328.69x = 22,529.94 × 9,614.60
  4. Step 4: Simplify right side
    16,328.69x = 216,616,361.12
  5. Step 5: Solve for x
    x = 216,616,361.12/16,328.69
  6. Step 6: Final answer
    x = 13,266.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.